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教师简历 当前位置: 首页 > 师资队伍 > 大学数学教学部 > 正文
 
朱茂春

姓  名 朱茂春
职务职称: 副教授、硕士生导师
研究方向: 几何不等式与偏微分方程
研究生招生专业: 数学
联系电话:  
E-mail zhumaochun2006@126.com
通信地址 江苏省镇江市学府路301号江苏大学数学科学学院(212013)
 
朱茂春,男,副教授,硕士生导师,博士。1982年 3月出生,江苏镇江人。主要研究方向:几何不等式、非线性微分方程。相关研究工作发表在Adv. Math.、Analysis & PDE.、Calc. Var. & PDE.、J. Differntial Equations.、Milan Journal of Mathematics,Discrete and Continuous Dynamical Systems,Manuscripta Math等国际知名SCI学术期刊; 主持国家自然科学基金青年项目一项,江苏省青年基金一项。

● 2002/09-2006/06,西北工业大学数学系,大学/本科.
● 2006/09-2009/04,西北工业大学数学系,硕士,导师:丁晓庆
● 2008/09-2013/10,西北工业大学数学系,博士,导师:钮鹏程
● 2013/10-2015/9,北京师范大学数学科学学院,博士后
● 2015/9-2020/6,江苏大学理学院数学与应用数学系,讲师
● 2020/6-至今,江苏大学数学科学学院数学与应用数学系,副教授
● 2009/09-2010/9,意大利米兰理工大学联合培养,合作导师:Macro. Bramanti

● 2019/07-至今,江苏省数学学会会员.
● 2014/09-至今,美国《数学评论》评论员

● 泛函分析(本科)
● 泛函分析(硕士)
● 高等数学

1.Heisenberg群上的Moser-Trudinger型不等式及其在次椭圆问题中的应用, 国家自然基金基金青年项目,主持,2016.12-2019.12 (结题).
2.Heisenberg群上的两类Moser-Trudinger不等式及其相关应用, 江苏省自然科学基金青年项目, 主持(在研).

1.Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials, arXiv preprint, arXiv:1909.01952, 2019 (with Lu Chen and Guozhen Lu)
2.Existence of solutions to nonlinear Schrodinger equations involving N-Laplacian  and potentials vanishing at infinity, to appear in Acta Mathematica Sinica, English Series. (with Jun Wang and Xiaoyong Qian)
3.Existence and Nonexistence of Extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R^2, Advances in Mathematics, (2020) 368: 107143 (with Lu Chen and Guozhen Lu)
4.A sharp Trudinger-Moser type inequality involving L-n norm in the entire space R-n, Journal of Differential Equations, (2019) 267(5): 3046-3082.(with Guozhen Lu)
5.Existence of the normalized solutions to the nonlocal elliptic system with partial confinement, Discrete and Continuous Dynamical Systems, (2019) 39(4): 2187-2201.(with Jun Wang and Qiuping Geng)
6.Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions, Calculus of Variations & Partial Differential Equations, (2018) 57(1): 57-84.(with Jungang Li; and Guozhen Lu)
7.Adams’ inequalities with the exact growth condition in Rn, Advanced Nonlinear Studies, (2015) 15 763-788.(with Guozhen Lu and Hanli tang)
8.Orlicz Regularity for Non-divergence Parabolic Systems with Partially VMO Coefficients, Mathematica Scandinavica, (2015) 116,141-160.(with Pengcheng Niu and Xiaojing Feng)
9.Interior W∗1,p(x,t)-regularity for parabolic divergence equations of Hörmander’s type, Nonlinear Analysis Series A: Theory, Methods & Applications, (2015) 126, 324-344.(with Xia Li)
10.Regularity in Orlicz space for Nondivergence Elliptic Equations in Carnot Groups, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, (2014) 108, 577-601. (with Pengcheng Niu)
11.The interior W1;p regularity for parabolic equations structured on Hörmander's vector fields, Chinese Annals of Mathematics (CAM), Series A,  (2014) 35, 1-20.
12.Lp and Schauder estimates for nonvariational operators structured on Hörmander vector fields with drift, Analysis & PDE, (2013) 6, 1793-1855.(with Marco Bramanti)
13.Interior W1,p regularity and Holder continuity of weak solutions to a class of divergence Kolmogorov equations with discontinuous coefficients, Milan Journal of Mathematics, (2013) 81, 317-346.(with Pengcheng Niu)
14.Interior HW1,p estimates for divergence degenerate elliptic systems in Carnot groups,  Journal of Mathematical Analysis and Applications, (2013) 399, 442–458.(with Marco Bramanti and Pengcheng Niu)
15.Local real analysis in locally homogeneous spaces,Manuscripta math, 138 (2012), 477–528. (with Marco Bramanti)

 
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